Liu, Jingxin; Wu, Hongxia; Zeng, Yunbo On the integrable coupled generalization of dispersionless BKP hierarchy and its solutions. (Chinese. English summary) Zbl 1389.37042 Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 2, 313-325 (2017). MSC: 37K10 PDFBibTeX XMLCite \textit{J. Liu} et al., Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 2, 313--325 (2017; Zbl 1389.37042)
Wu, Hongxia; Liu, Jingxin; Zeng, Yunbo New extension of dispersionless Harry Dym hierarchy. (English) Zbl 1420.37091 J. Nonlinear Math. Phys. 23, No. 3, 383-398 (2016). MSC: 37K10 PDFBibTeX XMLCite \textit{H. Wu} et al., J. Nonlinear Math. Phys. 23, No. 3, 383--398 (2016; Zbl 1420.37091) Full Text: DOI
Wu, Hongxia; Gao, Liangjuan; Liu, Jingxin; Zeng, Yunbo Two kinds of Darboux-Bäcklund transformations for the \(q\)-deformed KdV hierarchy with self-consistent sources. (English) Zbl 1360.35233 Adv. Math. Phys. 2016, Article ID 8153752, 11 p. (2016). MSC: 35Q53 37K35 35C08 PDFBibTeX XMLCite \textit{H. Wu} et al., Adv. Math. Phys. 2016, Article ID 8153752, 11 p. (2016; Zbl 1360.35233) Full Text: DOI
Lin, Runliang; Cao, Tiancheng; Liu, Xiaojun; Zeng, Yunbo Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy. (English. Russian original) Zbl 1339.37057 Theor. Math. Phys. 186, No. 3, 307-319 (2016); translation from Teor. Mat. Fiz. 186, No. 3, 357-370 (2016). MSC: 37K10 37K35 PDFBibTeX XMLCite \textit{R. Lin} et al., Theor. Math. Phys. 186, No. 3, 307--319 (2016; Zbl 1339.37057); translation from Teor. Mat. Fiz. 186, No. 3, 357--370 (2016) Full Text: DOI arXiv
Huang, Yehui; Yao, Yuqin; Zeng, Yunbo Links between \((\gamma_n, \sigma_k)\)-KP hierarchy, \((\gamma_n, \sigma_k)\)-mKP hierarchy, and \((2+1)-(\gamma_n, \sigma_k)\)-Harry Dym hierarchy. (English) Zbl 1342.35304 Adv. Math. Phys. 2015, Article ID 392723, 11 p. (2015). MSC: 35Q53 35C08 37K10 PDFBibTeX XMLCite \textit{Y. Huang} et al., Adv. Math. Phys. 2015, Article ID 392723, 11 p. (2015; Zbl 1342.35304) Full Text: DOI
Wu, Hongxia; Zeng, Yunbo On a new generalization of dispersionless Kadomtsev-Petviashvili hierarchy and its reductions. (English) Zbl 1524.35562 Math. Methods Appl. Sci. 37, No. 8, 1171-1178 (2014). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{H. Wu} and \textit{Y. Zeng}, Math. Methods Appl. Sci. 37, No. 8, 1171--1178 (2014; Zbl 1524.35562) Full Text: DOI
Lin, Runliang; Liu, Xiaojun; Zeng, Yunbo Bilinear identities and Hirota’s bilinear forms for an extended Kadomtsev-Petviashvili hierarchy. (English) Zbl 1420.37077 J. Nonlinear Math. Phys. 20, No. 2, 214-228 (2013). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{R. Lin} et al., J. Nonlinear Math. Phys. 20, No. 2, 214--228 (2013; Zbl 1420.37077) Full Text: DOI arXiv
Huang, Yehui; Lin, Runliang; Yao, Yuqin; Zeng, Yunbo The generalized Kupershmidt deformation for constructing new discrete integrable systems. (English. Russian original) Zbl 1396.37070 Theor. Math. Phys. 175, No. 2, 596-608 (2013); translation from Teor. Mat. Fiz. 175, No. 2, 178-192 (2013). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{Y. Huang} et al., Theor. Math. Phys. 175, No. 2, 596--608 (2013; Zbl 1396.37070); translation from Teor. Mat. Fiz. 175, No. 2, 178--192 (2013) Full Text: DOI arXiv
Yao, Yuqin; Huang, Yehui; Zeng, Y. A new \((\gamma_n, \sigma_k)\)-KP hierarchy and generalized dressing method. (English) Zbl 1282.37038 J. Nonlinear Math. Phys. 19, No. 4, Paper No. 1250027, 13 p. (2012). MSC: 37K10 PDFBibTeX XMLCite \textit{Y. Yao} et al., J. Nonlinear Math. Phys. 19, No. 4, Paper No. 1250027, 13 p. (2012; Zbl 1282.37038) Full Text: DOI arXiv
Huang, Ye-Hui; Yao, Yu-Qin; Zeng, Yun-Bo A new \((\gamma_{A}, \sigma_{B})\)-matrix KP hierarchy and its solutions. (English) Zbl 1247.37060 Commun. Theor. Phys. 57, No. 4, 515-522 (2012). MSC: 37K10 37K40 35Q53 PDFBibTeX XMLCite \textit{Y.-H. Huang} et al., Commun. Theor. Phys. 57, No. 4, 515--522 (2012; Zbl 1247.37060) Full Text: DOI
Wu, Hongxia; Zeng, Yunbo A new extended dispersionless mKP hierarchy and hodograph solution. (English) Zbl 1257.37050 Commun. Nonlinear Sci. Numer. Simul. 17, No. 7, 2766-2775 (2012). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37K10 37K35 35Q51 PDFBibTeX XMLCite \textit{H. Wu} and \textit{Y. Zeng}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 7, 2766--2775 (2012; Zbl 1257.37050) Full Text: DOI
Huang, Yehui; Liu, Xiaojun; Yao, Yuqin; Zeng, Yunbo A new extended matrix KP hierarchy and its solutions. (English. Russian original) Zbl 1417.37230 Theor. Math. Phys. 167, No. 2, 590-605 (2011); translation from Teor. Mat. Fiz. 167, No. 2, 222-238 (2011). MSC: 37K10 37K40 PDFBibTeX XMLCite \textit{Y. Huang} et al., Theor. Math. Phys. 167, No. 2, 590--605 (2011; Zbl 1417.37230); translation from Teor. Mat. Fiz. 167, No. 2, 222--238 (2011) Full Text: DOI arXiv
Yao, Yu-Qin; Huang, Ye-Hui; Zeng, Yun-Bo A new CKP hierarchy with two generalized time series and its reduction. (English) Zbl 1247.37070 Commun. Theor. Phys. 56, No. 4, 626-630 (2011). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{Y.-Q. Yao} et al., Commun. Theor. Phys. 56, No. 4, 626--630 (2011; Zbl 1247.37070) Full Text: DOI
Yao, Yuqin; Huang, Yehui; Wei, Yuan; Zeng, Yunbo Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators. (English) Zbl 1223.35285 Appl. Math. Comput. 218, No. 2, 583-591 (2011). MSC: 35Q53 37K10 35Q51 PDFBibTeX XMLCite \textit{Y. Yao} et al., Appl. Math. Comput. 218, No. 2, 583--591 (2011; Zbl 1223.35285) Full Text: DOI arXiv
Yao, Yuqin; Zeng, Yunbo The generalized Kupershmidt deformation for constructing new integrable systems from integrable bi-Hamiltonian systems. (English) Zbl 1311.35266 J. Math. Phys. 51, No. 6, 063503, 14 p. (2010). MSC: 35Q53 35Q51 37K10 37K55 14D15 37J60 76B15 PDFBibTeX XMLCite \textit{Y. Yao} and \textit{Y. Zeng}, J. Math. Phys. 51, No. 6, 063503, 14 p. (2010; Zbl 1311.35266) Full Text: DOI arXiv
Huang, Ye-Hui; Yao, Yu-Qin; Zeng, Yun-Bo On Camassa-Holm equation with self-consistent sources and its solutions. (English) Zbl 1218.35209 Commun. Theor. Phys. 53, No. 3, 403-412 (2010). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{Y.-H. Huang} et al., Commun. Theor. Phys. 53, No. 3, 403--412 (2010; Zbl 1218.35209) Full Text: DOI arXiv
Liu, Xiaojun; Lin, Runliang; Jin, Bo; Zeng, Yunbo A generalized dressing approach for solving the extended KP and the extended mKP hierarchy. (English) Zbl 1187.35218 J. Math. Phys. 50, No. 5, 053506, 14 p. (2009). MSC: 35Q53 37K10 37K40 35Q51 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Math. Phys. 50, No. 5, 053506, 14 p. (2009; Zbl 1187.35218) Full Text: DOI arXiv
Yao, Yu-Qin; Zeng, Yun-Bo Rosochatius deformed soliton hierarchy with self-consistent sources. (English) Zbl 1186.35178 Commun. Theor. Phys. 52, No. 2, 193-202 (2009). MSC: 35Q51 35C08 37K05 37K10 PDFBibTeX XMLCite \textit{Y.-Q. Yao} and \textit{Y.-B. Zeng}, Commun. Theor. Phys. 52, No. 2, 193--202 (2009; Zbl 1186.35178) Full Text: DOI
Yao, Yuqin; Liu, Xiaojun; Zeng, Yunbo A new extended discrete KP hierarchy and a generalized dressing method. (English) Zbl 1209.37082 J. Phys. A, Math. Theor. 42, No. 45, Article ID 454026, 10 p. (2009). Reviewer: Radu Precup (Cluj-Napoca) MSC: 37K10 PDFBibTeX XMLCite \textit{Y. Yao} et al., J. Phys. A, Math. Theor. 42, No. 45, Article ID 454026, 10 p. (2009; Zbl 1209.37082) Full Text: DOI arXiv
Wu, Hongxia; Zeng, Yunbo; Fan, Tianyou The negative extended KdV equation with self-consistent sources: soliton, positon and negaton. (English) Zbl 1221.35377 Commun. Nonlinear Sci. Numer. Simul. 13, No. 10, 2146-2156 (2008). MSC: 35Q53 35Q51 37K10 PDFBibTeX XMLCite \textit{H. Wu} et al., Commun. Nonlinear Sci. Numer. Simul. 13, No. 10, 2146--2156 (2008; Zbl 1221.35377) Full Text: DOI
Liu, Xiaojun; Zeng, Yunbo; Lin, Runliang A new extended KP hierarchy. (English) Zbl 1220.37055 Phys. Lett., A 372, No. 21, 3819-3823 (2008). MSC: 37K10 35Q51 PDFBibTeX XMLCite \textit{X. Liu} et al., Phys. Lett., A 372, No. 21, 3819--3823 (2008; Zbl 1220.37055) Full Text: DOI arXiv
Yao, Yuqin; Zeng, Yunbo The bi-Hamiltonian structure and new solutions of KdV6 equation. (English) Zbl 1179.35298 Lett. Math. Phys. 86, No. 2-3, 193-208 (2008). MSC: 35Q53 37K35 37K10 35C08 PDFBibTeX XMLCite \textit{Y. Yao} and \textit{Y. Zeng}, Lett. Math. Phys. 86, No. 2--3, 193--208 (2008; Zbl 1179.35298) Full Text: DOI arXiv
Lin, Runliang; Liu, Xiaojun; Zeng, Yunbo A new extended q-deformed KP hierarchy. (English) Zbl 1168.37020 J. Nonlinear Math. Phys. 15, No. 3, 333-347 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37K10 PDFBibTeX XMLCite \textit{R. Lin} et al., J. Nonlinear Math. Phys. 15, No. 3, 333--347 (2008; Zbl 1168.37020) Full Text: DOI arXiv
Wu, Hongxia; Zeng, Yunbo; Fan, Tianyou A new multicomponent CKP hierarchy and solutions. (English) Zbl 1152.81633 J. Math. Phys. 49, No. 9, 093510, 18 p. (2008). MSC: 37K10 37K05 PDFBibTeX XMLCite \textit{H. Wu} et al., J. Math. Phys. 49, No. 9, 093510, 18 p. (2008; Zbl 1152.81633) Full Text: DOI
Liu, Xiaojun; Zeng, Yunbo; Lin, Runliang An extended two-dimensional Toda lattice hierarchy and two-dimensional Toda lattice with self-consistent sources. (English) Zbl 1152.81537 J. Math. Phys. 49, No. 9, 093506, 19 p. (2008). MSC: 37K60 37K10 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Math. Phys. 49, No. 9, 093506, 19 p. (2008; Zbl 1152.81537) Full Text: DOI arXiv
Huang, Yehui; Zeng, Yunbo; Ragnisco, Orlando The Degasperis-Procesi equation with self-consistent sources. (English) Zbl 1146.37040 J. Phys. A, Math. Theor. 41, No. 35, Article ID 355203, 9 p. (2008). MSC: 37K10 37K40 35Q51 PDFBibTeX XMLCite \textit{Y. Huang} et al., J. Phys. A, Math. Theor. 41, No. 35, Article ID 355203, 9 p. (2008; Zbl 1146.37040) Full Text: DOI arXiv
Yao, Yuqin; Zeng, Yunbo Integrable rosochatius deformations of higher-order constrained flows and the soliton hierarchy with self-consistent sources. (English) Zbl 1195.37042 J. Phys. A, Math. Theor. 41, No. 29, Article ID 295205, 16 p. (2008). MSC: 37K10 37K40 35Q51 35Q53 PDFBibTeX XMLCite \textit{Y. Yao} and \textit{Y. Zeng}, J. Phys. A, Math. Theor. 41, No. 29, Article ID 295205, 16 p. (2008; Zbl 1195.37042) Full Text: DOI arXiv
Wu, Hongxia; Zeng, Yunbo; Fan, Tianyou Complexitons of the modified KdV equation by Darboux transformation. (English) Zbl 1132.35467 Appl. Math. Comput. 196, No. 2, 501-510 (2008). MSC: 35Q53 37K10 37K35 PDFBibTeX XMLCite \textit{H. Wu} et al., Appl. Math. Comput. 196, No. 2, 501--510 (2008; Zbl 1132.35467) Full Text: DOI
Li, Chunxia; Zeng, Yunbo Soliton solutions to a higher order Itô equation: Pfaffian technique. (English) Zbl 1197.35237 Phys. Lett., A 363, No. 1-2, 1-4 (2007). MSC: 35Q53 37K10 35Q51 37K35 37K40 PDFBibTeX XMLCite \textit{C. Li} and \textit{Y. Zeng}, Phys. Lett., A 363, No. 1--2, 1--4 (2007; Zbl 1197.35237) Full Text: DOI
Li, Chunxia; Huang, Yehui; Zeng, Yunbo Commutativity of Pfaffianization and Bäcklund transformations for a special two-dimensional lattice. (English) Zbl 1197.37091 Phys. Lett., A 362, No. 2-3, 174-182 (2007). MSC: 37K35 37K10 82C20 PDFBibTeX XMLCite \textit{C. Li} et al., Phys. Lett., A 362, No. 2--3, 174--182 (2007; Zbl 1197.37091) Full Text: DOI
Yang, Zhihua; Zeng, Yunbo On generating equations for the Kaup-Newell hierarchy. (English) Zbl 1150.37010 Appl. Math., Ser. B (Engl. Ed.) 22, No. 4, 413-420 (2007). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{Y. Zeng}, Appl. Math., Ser. B (Engl. Ed.) 22, No. 4, 413--420 (2007; Zbl 1150.37010) Full Text: DOI
Wu, Hongxia; Zeng, Yunbo; Fan, Tianyou Positon and negaton solutions of the mKdV equation with self-consistent sources. (English) Zbl 1124.35078 J. Phys. A, Math. Theor. 40, No. 34, 10505-10517 (2007). MSC: 35Q53 37K40 37K35 PDFBibTeX XMLCite \textit{H. Wu} et al., J. Phys. A, Math. Theor. 40, No. 34, 10505--10517 (2007; Zbl 1124.35078) Full Text: DOI
Liu, Xiaojun; Zeng, Yunbo On the Ablowitz-Ladik equations with self-consistent sources. (English) Zbl 1120.37046 J. Phys. A, Math. Theor. 40, No. 30, 8765-8790 (2007). MSC: 37K60 37K35 35A30 35Q55 37K10 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Zeng}, J. Phys. A, Math. Theor. 40, No. 30, 8765--8790 (2007; Zbl 1120.37046) Full Text: DOI
Lin, Runliang; Yao, Haishen; Zeng, Yunbo Restricted flows and the soliton equation with self-consistent sources. (English) Zbl 1135.35068 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 096, 8 pp. (2006). MSC: 35Q51 35Q53 37K10 PDFBibTeX XMLCite \textit{R. Lin} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 096, 8 pp. (2006; Zbl 1135.35068) Full Text: DOI arXiv EuDML EMIS
Xiao, Ting; Zeng, Yunbo Bäcklund transformations for the constrained dispersionless hierarchies and dispersionless hierarchies with self-consistent sources. (English) Zbl 1099.37056 Inverse Probl. 22, No. 3, 869-879 (2006). MSC: 37K35 37K10 PDFBibTeX XMLCite \textit{T. Xiao} and \textit{Y. Zeng}, Inverse Probl. 22, No. 3, 869--879 (2006; Zbl 1099.37056) Full Text: DOI arXiv
Yang, Zhihua; Xiao, Ting; Zeng, Yunbo Integrable dispersionless KdV hierarchy with sources. (English) Zbl 1122.37052 J. Phys. A, Math. Gen. 39, No. 26, 8427-8437 (2006). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{Z. Yang} et al., J. Phys. A, Math. Gen. 39, No. 26, 8427--8437 (2006; Zbl 1122.37052) Full Text: DOI arXiv
Xiao, Ting; Zeng, Yunbo Bäcklund transformations for the KP and mKP hierarchies with self-consistent sources. (English) Zbl 1094.37039 J. Phys. A, Math. Gen. 39, No. 1, 139-156 (2006). MSC: 37K10 37K35 35A30 35Q53 PDFBibTeX XMLCite \textit{T. Xiao} and \textit{Y. Zeng}, J. Phys. A, Math. Gen. 39, No. 1, 139--156 (2006; Zbl 1094.37039) Full Text: DOI arXiv
Liu, Xiaojun; Zeng, Yunbo On the Toda lattice equation with self-consistent sources. (English) Zbl 1113.37053 J. Phys. A, Math. Gen. 38, No. 41, 8951-8965 (2005). MSC: 37K60 37K10 37K35 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Zeng}, J. Phys. A, Math. Gen. 38, No. 41, 8951--8965 (2005; Zbl 1113.37053) Full Text: DOI arXiv
Xiao, Ting; Zeng, Yunbo Generalized Darboux transformations for the KP equation with self-consistent sources. (English) Zbl 1140.35319 J. Phys. A, Math. Gen. 37, No. 28, 7143-7162 (2004). MSC: 35A30 35Q53 37K10 37K35 PDFBibTeX XMLCite \textit{T. Xiao} and \textit{Y. Zeng}, J. Phys. A, Math. Gen. 37, No. 28, 7143--7162 (2004; Zbl 1140.35319) Full Text: DOI arXiv
Zeng, Y. B.; Shao, Y. J.; Xue, W. M. Positon solutions of the KdV equation with self-consistent sources. (English) Zbl 1178.35340 Theor. Math. Phys. 137, No. 2, 1622-1631 (2003); translation from Teor. Mat. Fiz. 137, No. 2, 309-320 (2003). MSC: 35Q53 37K15 35A22 PDFBibTeX XMLCite \textit{Y. B. Zeng} et al., Theor. Math. Phys. 137, No. 2, 1622--1631 (2003; Zbl 1178.35340); translation from Teor. Mat. Fiz. 137, No. 2, 309--320 (2003) Full Text: DOI
Zeng, Yunbo; Ye, Shuo Solving the mKdV hierarchy with integral type of source by inverse scattering transformation. (English) Zbl 1038.35105 Hon, Yiu-Chung (ed.) et al., Recent development in theories and numerics. Proceedings of the international conference on inverse problems, Hong Kong, China, January 9–12, 2002. River Edge, NJ: World Scientific (ISBN 981-238-366-2/pbk). 212-221 (2003). MSC: 35Q53 37K05 37K15 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{S. Ye}, in: Recent development in theories and numerics. Proceedings of the international conference on inverse problems, Hong Kong, China, January 9--12, 2002. River Edge, NJ: World Scientific. 212--221 (2003; Zbl 1038.35105)
Zeng, Yunbo; Shao, Yijun; Xue, Weimin Negaton and positon solutions of the soliton equation with self-consistent sources. (English) Zbl 1033.35110 J. Phys. A, Math. Gen. 36, No. 18, 5035-5043 (2003). MSC: 35Q53 37K40 37K35 PDFBibTeX XMLCite \textit{Y. Zeng} et al., J. Phys. A, Math. Gen. 36, No. 18, 5035--5043 (2003; Zbl 1033.35110) Full Text: DOI arXiv
Zeng, Yun-Bo; Shao, Yi-Jun; Ma, Wen-Xiu Integral-type Darboux transformations for the mKdV hierarchy with self-consistent sources. (English) Zbl 1267.37082 Commun. Theor. Phys. 38, No. 6, 641-648 (2002). MSC: 37K10 37K35 35Q53 PDFBibTeX XMLCite \textit{Y.-B. Zeng} et al., Commun. Theor. Phys. 38, No. 6, 641--648 (2002; Zbl 1267.37082) Full Text: DOI
Zeng, Yunbo; Cao, Xin Separation of variables for higher-order binary constrained flows of the Tu hierarchy. (English) Zbl 1264.37034 Adv. Math., Beijing 31, No. 2, 135-147 (2002). MSC: 37K10 35Q53 37J35 70H06 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{X. Cao}, Adv. Math., Beijing 31, No. 2, 135--147 (2002; Zbl 1264.37034)
Lin, Runliang; Ma, Wen-Xiu; Zeng, Yunbo Higher order potential expansion for the continuous limits of the Toda hierarchy. (English) Zbl 1039.37054 J. Phys. A, Math. Gen. 35, No. 23, 4915-4928 (2002). MSC: 37K10 37K60 PDFBibTeX XMLCite \textit{R. Lin} et al., J. Phys. A, Math. Gen. 35, No. 23, 4915--4928 (2002; Zbl 1039.37054) Full Text: DOI arXiv
Ye, Shuo; Zeng, Yunbo Integration of the modified Korteweg-de Vries hierarchy with an integral type of source. (English) Zbl 1039.37060 J. Phys. A, Math. Gen. 35, No. 21, L283-L291 (2002). MSC: 37K15 35Q53 PDFBibTeX XMLCite \textit{S. Ye} and \textit{Y. Zeng}, J. Phys. A, Math. Gen. 35, No. 21, L283--L291 (2002; Zbl 1039.37060) Full Text: DOI arXiv
Ma, Wen-Xiu; Zeng, Yunbo Binary constrained flows and separation of variables for soliton equations. (English) Zbl 1066.35085 ANZIAM J. 44, No. 1, 129-139 (2002). MSC: 35Q51 37K10 35F20 35Q55 37K15 PDFBibTeX XMLCite \textit{W.-X. Ma} and \textit{Y. Zeng}, ANZIAM J. 44, No. 1, 129--139 (2002; Zbl 1066.35085) Full Text: DOI arXiv
Zeng, Yunbo; Dai, Huihui; Song, Jinping Bäcklund transformations for high-order constrained flows of the AKNS hierarchy: Canonicity and spectrality property. (English) Zbl 1001.37078 J. Phys. A, Math. Gen. 35, No. 4, 1095-1108 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 37K35 37K10 PDFBibTeX XMLCite \textit{Y. Zeng} et al., J. Phys. A, Math. Gen. 35, No. 4, 1095--1108 (2002; Zbl 1001.37078) Full Text: DOI arXiv
Zeng, Yunbo; Dai, Huihui Constructing the \(N\)-soliton solution for the mKdV equation through constrained flows. (English) Zbl 1004.37059 J. Phys. A, Math. Gen. 34, No. 46, L657-L663 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37K40 37K10 35Q51 35Q53 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{H. Dai}, J. Phys. A, Math. Gen. 34, No. 46, L657--L663 (2001; Zbl 1004.37059) Full Text: DOI arXiv
Zeng, Yunbo; Ma, Wen-Xiu; Shao, Yijun Two binary Darboux transformations for the KdV hierarchy with self-consistent sources. (English) Zbl 1005.37044 J. Math. Phys. 42, No. 5, 2113-2128 (2001). MSC: 37K35 35Q53 37K10 PDFBibTeX XMLCite \textit{Y. Zeng} et al., J. Math. Phys. 42, No. 5, 2113--2128 (2001; Zbl 1005.37044) Full Text: DOI arXiv
Zeng, Yunbo Quasi-bi-Hamiltonian systems obtained from constrained flows. (English) Zbl 0982.37071 J. Nonlinear Math. Phys. 8, Suppl., 300-304 (2001). Reviewer: Sergei Yu.Pilyugin (St.Peterburg) MSC: 37K10 35F20 PDFBibTeX XMLCite \textit{Y. Zeng}, J. Nonlinear Math. Phys. 8, 300--304 (2001; Zbl 0982.37071) Full Text: DOI
Zeng, Yunbo; Ma, Wen-Xiu; Lin, Runliang Integration of the soliton hierarchy with self-consistent sources. (English) Zbl 0968.37023 J. Math. Phys. 41, No. 8, 5453-5489 (2000). MSC: 37K15 35Q51 37K10 PDFBibTeX XMLCite \textit{Y. Zeng} et al., J. Math. Phys. 41, No. 8, 5453--5489 (2000; Zbl 0968.37023) Full Text: DOI Link
Zeng, Yunbo A hierarchy of multidimensional Hénon-Heiles systems. (English) Zbl 1065.37054 Acta Math. Sin., Engl. Ser. 16, No. 3, 527-534 (2000). Reviewer: Jan L. Cieśliński (Białystok) MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{Y. Zeng}, Acta Math. Sin., Engl. Ser. 16, No. 3, 527--534 (2000; Zbl 1065.37054) Full Text: DOI
Zeng, Yunbo Deriving \(N\)-soliton solutions via constrained flows. (English) Zbl 1100.37505 J. Phys. A, Math. Gen. 33, No. 12, L115-L120 (2000). MSC: 37K10 35Q51 37K40 PDFBibTeX XMLCite \textit{Y. Zeng}, J. Phys. A, Math. Gen. 33, No. 12, L115--L120 (2000; Zbl 1100.37505) Full Text: DOI arXiv
Zeng, Yunbo A new method to introduce additional separated variables for high-order binary constrained flows. (English) Zbl 0973.37045 J. Phys. A, Math. Gen. 33, No. 3, 621-647 (2000). Reviewer: Lev Lerman (Nizhny Novgorod) MSC: 37K10 37J25 PDFBibTeX XMLCite \textit{Y. Zeng}, J. Phys. A, Math. Gen. 33, No. 3, 621--647 (2000; Zbl 0973.37045) Full Text: DOI arXiv
Zeng, Yunbo Solving AKNS equations via Jacobi inversion problem. (English) Zbl 1010.37038 Acta Math. Appl. Sin., Engl. Ser. 15, No. 4, 337-344 (1999). MSC: 37J35 37K15 37K20 PDFBibTeX XMLCite \textit{Y. Zeng}, Acta Math. Appl. Sin., Engl. Ser. 15, No. 4, 337--344 (1999; Zbl 1010.37038) Full Text: DOI
Zeng, Yunbo; Ma, Wenxiu Separation of variables for soliton equations via their binary constrained flows. (English) Zbl 0955.37041 J. Math. Phys. 40, No. 12, 6526-6557 (1999). Reviewer: Serguei Zelik (Moskva) MSC: 37K10 37K15 35Q53 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{W. Ma}, J. Math. Phys. 40, No. 12, 6526--6557 (1999; Zbl 0955.37041) Full Text: DOI arXiv
Zeng, Yunbo; Lin, Runliang; Cao, Xin The relation between the Toda hierarchy and the KdV hierarchy. (English) Zbl 0937.37041 Phys. Lett., A 251, No. 3, 177-183 (1999). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{Y. Zeng} et al., Phys. Lett., A 251, No. 3, 177--183 (1999; Zbl 0937.37041) Full Text: DOI arXiv
Zeng, Yunbo; Ma, Wenxiu Families of quasi-bi-Hamiltonian systems and separability. (English) Zbl 0953.37015 J. Math. Phys. 40, No. 9, 4452-4473 (1999). Reviewer: Lev Lerman (Nizhny Novgorod) MSC: 37K10 35Q51 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{W. Ma}, J. Math. Phys. 40, No. 9, 4452--4473 (1999; Zbl 0953.37015) Full Text: DOI arXiv
Zeng, Yunbo; Lin, Runliang; Wang, Xiaohong Bi-Hamiltonian structure of the KdV hierarchy with self-consistent sources. (English) Zbl 1054.37510 Adv. Math., Beijing 27, No. 5, 451-463 (1998). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{Y. Zeng} et al., Adv. Math., Beijing 27, No. 5, 451--463 (1998; Zbl 1054.37510)
Zeng, Yunbo; Lin, Runliang Families of dynamical \(r\)-matrices and Jacobi inversion problem for nonlinear evolution equations. (English) Zbl 0927.37049 J. Math. Phys. 39, No. 11, 5964-5983 (1998). MSC: 37K10 81R50 82B23 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{R. Lin}, J. Math. Phys. 39, No. 11, 5964--5983 (1998; Zbl 0927.37049) Full Text: DOI
Zeng, Yunbo Restricted flows of a hierarchy of integrable discrete systems. (English) Zbl 0951.37032 Acta Math. Appl. Sin., Engl. Ser. 14, No. 2, 176-184 (1998). Reviewer: Samir Musayev (Baku) MSC: 37K15 37K05 37J35 PDFBibTeX XMLCite \textit{Y. Zeng}, Acta Math. Appl. Sin., Engl. Ser. 14, No. 2, 176--184 (1998; Zbl 0951.37032) Full Text: DOI
Zeng, Yunbo Separation of variables for the constrained flows. (English) Zbl 0871.35085 J. Math. Phys. 38, No. 1, 321-329 (1997). MSC: 35Q53 37J35 37K10 PDFBibTeX XMLCite \textit{Y. Zeng}, J. Math. Phys. 38, No. 1, 321--329 (1997; Zbl 0871.35085) Full Text: DOI
Zeng, Yunbo The Jacobi inversion problem for soliton equations. (English) Zbl 0944.35070 J. Phys. Soc. Japan 66, No. 8, 2277-2282 (1997). MSC: 35Q51 37K10 PDFBibTeX XMLCite \textit{Y. Zeng}, J. Phys. Soc. Japan 66, No. 8, 2277--2282 (1997; Zbl 0944.35070) Full Text: DOI
Zeng, Yunbo Using factorization to solve soliton equations. (English) Zbl 0924.35129 J. Phys. A, Math. Gen. 30, No. 10, 3719-3724 (1997). MSC: 35Q51 37J35 37K10 PDFBibTeX XMLCite \textit{Y. Zeng}, J. Phys. A, Math. Gen. 30, No. 10, 3719--3724 (1997; Zbl 0924.35129) Full Text: DOI
Zeng, Yunbo; Li, Yishen New symplectic maps: integrability and Lax representation. (English) Zbl 0890.58018 Chin. Ann. Math., Ser. B 18, No. 4, 457-466 (1997). MSC: 37J99 37J35 37K10 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Y. Li}, Chin. Ann. Math., Ser. B 18, No. 4, 457--466 (1997; Zbl 0890.58018)
Zeng, Y. B. A family of separable integrable Hamiltonian systems and their classical dynamical \(r\)-matrix Poisson structures. (English) Zbl 0858.35119 Inverse Probl. 12, No. 5, 797-809 (1996). MSC: 35Q58 37J99 PDFBibTeX XMLCite \textit{Y. B. Zeng}, Inverse Probl. 12, No. 5, 797--809 (1996; Zbl 0858.35119) Full Text: DOI
Zeng, Yunbo; Li, Yishen The Lax representation and Darboux transformation for constrained flows of the AKNS hierarchy. (English) Zbl 0867.35088 Acta Math. Sin., New Ser. 12, No. 2, 217-224 (1996). MSC: 35Q53 37J99 58J72 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Y. Li}, Acta Math. Sin., New Ser. 12, No. 2, 217--224 (1996; Zbl 0867.35088) Full Text: DOI
Zeng, Yunbo The \(r\)-matrix for constrained flows. (English) Zbl 0857.58020 Chin. Sci. Bull. 41, No. 9, 705-708 (1996). Reviewer: V.Perlick (Berlin) MSC: 37J99 37C10 35Q58 PDFBibTeX XMLCite \textit{Y. Zeng}, Chin. Sci. Bull. 41, No. 9, 705--708 (1996; Zbl 0857.58020)
Zeng, Yunbo Reductions of adjoint representations to Lax representations for constrained flows. (English) Zbl 0852.35120 Chin. Ann. Math., Ser. B 17, No. 2, 187-198 (1996). MSC: 35Q51 37J35 37K10 37C10 PDFBibTeX XMLCite \textit{Y. Zeng}, Chin. Ann. Math., Ser. B 17, No. 2, 187--198 (1996; Zbl 0852.35120)
Zeng, Yunbo; Hietarinta, Jarmo Classical Poisson structures and \(r\)-matrices from constrained flows. (English) Zbl 0899.58023 J. Phys. A, Math. Gen. 29, No. 16, 5241-5252 (1996). MSC: 37J35 37K10 35Q58 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{J. Hietarinta}, J. Phys. A, Math. Gen. 29, No. 16, 5241--5252 (1996; Zbl 0899.58023) Full Text: DOI arXiv
Zeng, Yunbo; Li, Yishen The general scheme for higher-order decompositions of zero-curvature equations associated with \(\widetilde {sl}(2)\). (English) Zbl 0896.58036 Acta Math. Appl. Sin., Engl. Ser. 12, No. 4, 337-353 (1996). Reviewer: Guo Boling (Beijing) MSC: 37J35 37K10 35Q58 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Y. Li}, Acta Math. Appl. Sin., Engl. Ser. 12, No. 4, 337--353 (1996; Zbl 0896.58036) Full Text: DOI
Zeng, Yunbo; Rauch-Wojciechowski, S. Continuous limits for the Kac-Van Moerbeke hierarchy and for their restricted flows. (English) Zbl 0859.35114 J. Phys. A, Math. Gen. 28, No. 13, 3825-3840 (1995). MSC: 35Q53 37J99 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{S. Rauch-Wojciechowski}, J. Phys. A, Math. Gen. 28, No. 13, 3825--3840 (1995; Zbl 0859.35114) Full Text: DOI
Zeng, Yunbo; Rauch-Wojciechowski, S. Restricted flows of the Ablowitz-Ladik hierarchy and their continuous limits. (English) Zbl 0853.35117 J. Phys. A, Math. Gen. 28, No. 1, 113-134 (1995). MSC: 35Q58 37J35 37K10 35Q53 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{S. Rauch-Wojciechowski}, J. Phys. A, Math. Gen. 28, No. 1, 113--134 (1995; Zbl 0853.35117) Full Text: DOI
Zeng, Yunbo An integrable system associated with higher-order constraint. (Chinese. English summary) Zbl 0841.58035 Acta Math. Sin. 38, No. 5, 642-652 (1995). MSC: 37J35 37K10 PDFBibTeX XMLCite \textit{Y. Zeng}, Acta Math. Sin. 38, No. 5, 642--652 (1995; Zbl 0841.58035)
Zeng, Yunbo; Li, Yishen On a general approach from infinite-dimensional integrable Hamiltonian systems to finite-dimensional ones. (English) Zbl 0834.58021 Adv. Math., Beijing 24, No. 2, 111-130 (1995). Reviewer: T.Ratiu (Santa Cruz) MSC: 37J99 37J35 37K10 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Y. Li}, Adv. Math., Beijing 24, No. 2, 111--130 (1995; Zbl 0834.58021)
Zeng, Yunbo New factorization of the Kaup-Newell hierarchy. (English) Zbl 0816.35117 Physica D 73, No. 3, 171-188 (1994). MSC: 35Q51 37J35 37K10 58J72 PDFBibTeX XMLCite \textit{Y. Zeng}, Physica D 73, No. 3, 171--188 (1994; Zbl 0816.35117) Full Text: DOI
Zeng, Yunbo The gauge transformation and the transformation between finite- dimensional integrable systems. (Chinese. English summary) Zbl 0788.58030 Appl. Math., Ser. A (Chin. Ed.) 8, No. 4, 339-350 (1993). MSC: 37J35 37K10 81Q10 PDFBibTeX XMLCite \textit{Y. Zeng}, Appl. Math., Ser. A (Chin. Ed.) 8, No. 4, 339--350 (1993; Zbl 0788.58030)
Zeng, Yunbo The bi-Hamiltonian structure for the restricted flows of the Boussinesq and the modified Boussinesq equation. (English) Zbl 0784.35088 J. Math. Phys. 34, No. 10, 4742-4754 (1993). MSC: 35Q35 37J99 58J72 PDFBibTeX XMLCite \textit{Y. Zeng}, J. Math. Phys. 34, No. 10, 4742--4754 (1993; Zbl 0784.35088) Full Text: DOI
Zeng, Yunbo Reductions of \((1+1)\)-dimensional integrable systems via the periodic fixed points of Darboux transformation. (English) Zbl 0782.35073 Inverse Probl. 9, No. 5, 565-572 (1993). MSC: 35Q53 58J72 37J35 37K10 PDFBibTeX XMLCite \textit{Y. Zeng}, Inverse Probl. 9, No. 5, 565--572 (1993; Zbl 0782.35073) Full Text: DOI
Zeng, Yunbo Finite-dimensional integrable Hamiltonian systems obtained from periodic fixed points of Darboux transformation. (English) Zbl 0783.35057 J. China Univ. Sci. Technol. 23, No. 1, 110-115 (1993). MSC: 35Q40 58J72 37J99 PDFBibTeX XMLCite \textit{Y. Zeng}, J. China Univ. Sci. Technol. 23, No. 1, 110--115 (1993; Zbl 0783.35057)
Zeng, Yunbo Periodic fixed points of Darboux transformation and decomposition of \((1+1)\)-dimensional integrable systems. (English) Zbl 0799.58072 Chin. Sci. Bull. 38, No. 15, 1241-1244 (1993). Reviewer: E.D.Belokolos (Kiev) MSC: 37K35 37J35 37K10 PDFBibTeX XMLCite \textit{Y. Zeng}, Chin. Sci. Bull. 38, No. 15, 1241--1244 (1993; Zbl 0799.58072)
Zeng, Yunbo; Li, Yishen The deduction of the Lax representation for constrained flows from the adjoint representation. (English) Zbl 0772.58019 J. Phys. A, Math. Gen. 26, No. 5, L273 - L278 (1993). MSC: 37J99 53D50 35Q51 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Y. Li}, J. Phys. A, Math. Gen. 26, No. 5, L273--L278 (1993; Zbl 0772.58019) Full Text: DOI
Zeng, Yunbo; Li, Yishen; Chen, Dengyuan A hierarchy of integrable Hamiltonian systems with Neumann type constraint. (English) Zbl 0754.35169 Chin. Ann. Math., Ser. B 13, No. 3, 327-340 (1992). MSC: 35Q58 37J99 35G10 35K25 PDFBibTeX XMLCite \textit{Y. Zeng} et al., Chin. Ann. Math., Ser. B 13, No. 3, 327--340 (1992; Zbl 0754.35169)
Zeng, Yunbo The higher-order constraints and integrable systems associated with the Boussinesq equation. (English) Zbl 0774.35061 Chin. Sci. Bull. 37, No. 23, 1937-1942 (1992). MSC: 35Q35 37J35 37K10 35Q51 PDFBibTeX XMLCite \textit{Y. Zeng}, Chin. Sci. Bull. 37, No. 23, 1937--1942 (1992; Zbl 0774.35061)
Zeng, Yunbo; Li, Yishen On complete integrability of a hierarchy of finite-dimensional Hamiltonian systems. (English) Zbl 0781.35064 Acta Math. Appl. Sin., Engl. Ser. 8, No. 3, 193-201 (1992). Reviewer: B.G.Konopelchenko (Novosibirsk) MSC: 35Q53 37J35 37K10 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Y. Li}, Acta Math. Appl. Sin., Engl. Ser. 8, No. 3, 193--201 (1992; Zbl 0781.35064) Full Text: DOI
Zeng, Yunbo The Lax pair and Bäcklund transformation for semisimple Toda lattice associated with \(A_ \ell\). (Chinese) Zbl 0769.35054 Acta Math. Sin. 35, No. 4, 454-459 (1992). Reviewer: Sheng Liren (Hefei) MSC: 35Q40 39A12 37K35 37C80 PDFBibTeX XMLCite \textit{Y. Zeng}, Acta Math. Sin. 35, No. 4, 454--459 (1992; Zbl 0769.35054)
Zeng, Yunbo; Li, Yishen; Chen, Dengyuan The hierarchy of completely integrable Hamiltonian systems associated with generalized Harry Dym hierarchy. (English) Zbl 0759.35042 J. China Univ. Sci. Technol. 21, No. 4, 397-410 (1991). MSC: 35Q53 37J35 37K10 35P05 PDFBibTeX XMLCite \textit{Y. Zeng} et al., J. China Univ. Sci. Technol. 21, No. 4, 397--410 (1991; Zbl 0759.35042)
Zeng, Yunbo Gauge transformation and bi-Hamiltonian structure of a finite-dimensional integrable system reduced from a soliton equation. (English) Zbl 0733.58022 J. Phys. A, Math. Gen. 24, No. 1, L11-L16 (1991). Reviewer: P.A.Kuchment (Wichita) MSC: 37J35 37K10 PDFBibTeX XMLCite \textit{Y. Zeng}, J. Phys. A, Math. Gen. 24, No. 1, L11--L16 (1991; Zbl 0733.58022) Full Text: DOI
Zeng, Yunbo The constraint on potential and decomposition for \((2+1)\)-dimensional integrable systems. (English) Zbl 0744.58035 J. Phys. A, Math. Gen. 24, No. 18, L1065-L1072 (1991). MSC: 37J35 37K10 35Q72 PDFBibTeX XMLCite \textit{Y. Zeng}, J. Phys. A, Math. Gen. 24, No. 18, L1065--L1072 (1991; Zbl 0744.58035) Full Text: DOI
Zeng, Yunbo The generalized Neumann hierarchy associated with the energy dependent Schrödinger equation. (English) Zbl 0738.35078 Physica D 53, No. 1, 45-58 (1991). MSC: 35Q40 37J99 PDFBibTeX XMLCite \textit{Y. Zeng}, Physica D 53, No. 1, 45--58 (1991; Zbl 0738.35078) Full Text: DOI
Zeng, Yunbo On the use of the Painlevé property for obtaining Miura type transformation. (English) Zbl 0741.35076 Acta Math. Appl. Sin., Engl. Ser. 7, No. 2, 150-164 (1991). MSC: 35Q53 35A30 37K10 37K35 PDFBibTeX XMLCite \textit{Y. Zeng}, Acta Math. Appl. Sin., Engl. Ser. 7, No. 2, 150--164 (1991; Zbl 0741.35076) Full Text: DOI
Zeng, Yunbo; Li, Yishen Integrable Hamiltonian systems related to the polynomial eigenvalue problem. (English) Zbl 0850.70174 J. Math. Phys. 31, No. 12, 2835-2839 (1990). MSC: 70H05 37J35 37K10 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Y. Li}, J. Math. Phys. 31, No. 12, 2835--2839 (1990; Zbl 0850.70174) Full Text: DOI
Li, Yishen; Cheng, Yi; Zeng, Yunbo A Lie algebraic structure of G. J. and its gauge equivalent Yang hierarchies. (English) Zbl 0728.35112 Nonlinear physics, Proc. Int. Conf., Shanghai/China 1989, 47-52 (1990). MSC: 35Q53 17B65 37J99 PDFBibTeX XML
Zeng, Yunbo; Li, Yishen An approach to the integrability of Hamiltonian systems obtained by reduction. (English) Zbl 0716.58017 J. Phys. A, Math. Gen. 23, No. 3, L89-L94 (1990). MSC: 37J35 37K10 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Y. Li}, J. Phys. A, Math. Gen. 23, No. 3, L89--L94 (1990; Zbl 0716.58017) Full Text: DOI
Zeng, Yunbo; Li, Yishen Two kinds of finite-dimensional systems related to the generalized Schrödinger equation. (English) Zbl 0749.58028 Nonlinear physics, Proc. Int. Conf., Shanghai/China 1989, 85-91 (1990). Reviewer: P.Holod (Kiev) MSC: 37J35 37K10 35Q58 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Y. Li}, in: The confocal involutive system and the integrability of the nonlinearized Lax system of AKNS hierarchy. . 85--91 (1990; Zbl 0749.58028)
Zeng, Yunbo; Li, Yishen The constraints of potentials and the finite-dimensional integrable systems. (English) Zbl 0695.58016 J. Math. Phys. 30, No. 8, 1679-1689 (1989). MSC: 37J35 37K10 35Q99 58D25 35G10 35K25 81T08 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Y. Li}, J. Math. Phys. 30, No. 8, 1679--1689 (1989; Zbl 0695.58016) Full Text: DOI